Naive Error Analysis

ConstantSymbolValue Uncertainty
Newtonian constant
of gravitation
G 6.6742(10)x10-11 Nm2/kg2     150 ppm
Planck constant h 6.626 0693(11)x10-34 Js170 ppb
Avogadro constant NA6.022 1415(10)x1023 /mole 170 ppb
elementary charge e1.602 176 53(14)x10-19 C85 ppb
unified atomic mass unit     u1.660 538 86(28)x10-27 kg170 ppb

 

 

 

 

 

Careful Error Analysis

ConstantSymbol     Value UncertaintyBudget
speed of light in vacuum c 299 792 458 m/s exact definition   0
def. of second s 9 192 631 770 Cs 6s periods exact definition0
electric constant 0 8.854 187 817 ...x10-12 F/m exact definition0
Carbon mass in amu mC12 exact definition0
Rydberg constant Rœ10 973 371.568 525(73) /m6.6 ppt3.3 ppt
proton-electron mass ratio     mp/me 1836.152 672 61(85) 460 ppt230 ppt
cesium-nucleon mass ratio MCs132.905 451 931(27) u 200 ppt100 ppt
proton mass in amu mp1.007 276 466 88(13) u 130 ppt <65? ppt
Planck/Cs mass ratio h/MCs3.002 369 45(33)x10-9 m2/s 3000? ppt1500? ppt
recoil frequency frec1875.785 54(15) Hz 3000? ppt1500? ppt
recoil velocity vrec 0.003 356 129 08(27)> m/s 3000? ppt1500? ppt
Cs 6s->62P½ frequency Csf(D1)335 116 048 807(41) kHz     120 ppt120 ppt

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  Here are the gory details.

 

 

 

 

 

 

 

Preliminary Error Anticipation

SourceMagnitude    
Statistical (fit+Doppler) (1 beam) 2 kHz
Statistical (fit+Doppler) (2 beam) 2 kHz
Optical Pumping + Recoil shift (1 beam) 3±1 kHz
Optical Pumping + Recoil shift (2 beam) 2±1 kHz
Corner Cube (unrotated) 5 kHz
Corner Cube (rotated--new) 1 kHz
Zeeman effect 1 kHz
AC Stark shift <0.1 kHz
2nd order Doppler <0.01 kHz

For Optical pumping and recoil shift this is the correction expected by extrapolating to zero laser intensity. It will have a corresponding uncertainty perhaps as shown above.